Boundary feedback stabilization of a three-layer sandwich beam: Riesz basis approach [PDF]
Summary: In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space.
Wang, Jun-Min +2 more
openaire +1 more source
Fractional Q$Q$‐curvature on the sphere and optimal partitions
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
wiley +1 more source
On the Equivalence Between a Minimal Codomain Cardinality Riesz Basis Construction, a System of Hadamard–Sylvester Operators, and a Class of Sparse, Binary Optimization Problems [PDF]
Piecewise, low-order polynomial, Riesz basis families are constructed such that they share the same coefficient functionals of smoother, orthonormal bases in a localized indexing subset.
Nelson, JDB
core
The domination theorem for operator classes generated by Orlicz spaces
Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
wiley +1 more source
RVSIM: a feature similarity method for full-reference image quality assessment
Image quality assessment is an important topic in the field of digital image processing. In this study, a full-reference image quality assessment method called Riesz transform and Visual contrast sensitivity-based feature SIMilarity index (RVSIM) is ...
Guangyi Yang +4 more
doaj +1 more source
Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
wiley +1 more source
Analysis of the three dimensional heat conduction in nano- or microscale [PDF]
The Dual-Phase-Lagging (DPL) equation is formulated as an abstract differential equation. In the absence of a heat source term the DPL equation with homogeneous boundary conditions generates a contraction semigroup.
Heidari, Hanif +2 more
core +1 more source
Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
In this paper, by means of the Riesz basis approach, we study the stability of a weakly damped system of two second order evolution equations coupled through the velocities.
Abdallah, Farah +3 more
core +2 more sources
On the Generalized Bm-Riesz Difference Sequence Space and β-Property
We introduce the generalized Riesz difference sequence space rq(p,Bm) which is defined by rq(p,Bm)={x=(xk)∈w:Bmx∈rq(p)} where rq(p) is the Riesz sequence space defined by Altay and Başar.
Metin Başarir +1 more
doaj +1 more source

